For the 2-dimensional Navier-Stokes System written for the stream functions we construct a set of initial data for which initial critical points bifurcate into three critical points. This can be interpreted as the birth of new viscous vortices from a single one. In another class of solutions vortices merge, i.e. the number of critical points decrease.
|Original language||English (US)|
|Title of host publication||Essays in Mathematics and its Applications|
|Subtitle of host publication||In Honor of Stephen Smale´s 80th Birthday|
|Publisher||Springer Berlin Heidelberg|
|Number of pages||29|
|State||Published - Jan 1 2012|
All Science Journal Classification (ASJC) codes